Least Common Multiple of 1964 and 1970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1964 and 1970 the smallest integer that is 1934540 that is divisible by both numbers.

Least Common Multiple (LCM) of 1964 and 1970 is 1934540.

LCM(1964,1970) = 1934540

LCM of 1964 and 1970

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1964 and 1970

LCM of 1964 and 1970 is 1934540

Least common multiple can be found by multiplying the highest exponent prime factors of 1964 and 1970. First we will calculate the prime factors of 1964 and 1970.

Prime Factorization of 1964


2 1964
2 982
491 491
1

Prime factors of 1964 are 2,491. Prime factorization of 1964 in exponential form is:

1964 = 22×4911

Prime Factorization of 1970


2 1970
5 985
197 197
1

Prime factors of 1970 are 2, 5,197. Prime factorization of 1970 in exponential form is:

1970 = 21×51×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 1964 and 1970.

LCM(1964,1970) = 22×51×1971×4911
LCM(1964,1970) = 1934540

Factors of 1964

List of positive integer factors of 1964 that divides 1964 without a remainder.

1, 2, 4, 491, 982, 1964

Factors of 1970

List of positive integer factors of 1970 that divides 1970 without a remainder.

1, 2, 5, 10, 197, 394, 985, 1970

Least Common Multiple of 1964 and 1970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1964 and 1970, than apply into the LCM equation.

GCF(1964,1970) = 2
LCM(1964,1970) = ( 1964 × 1970) / 2
LCM(1964,1970) = 3869080 / 2
LCM(1964,1970) = 1934540

Properties of LCM 1964 and 1970

(i) The LCM of 1970 and 1964 is associative

LCM of 1964 and 1970 = LCM of 1970 and 1964

Related Least Common Multiples of 1964

Related Least Common Multiples of 1970

Frequently Asked Questions on LCM of 1964 and 1970

1. What is the LCM of 1964 and 1970?

Answer: LCM of 1964 and 1970 is 1934540.

2. What are the Factors of 1964?

Answer: Factors of 1964 are 1, 2, 4, 491, 982, 1964. There are 6 integers that are factors of 1964. The greatest factor of 1964 is 1964.

3. What are the Factors of 1970?

Answer: Factors of 1970 are 1, 2, 5, 10, 197, 394, 985, 1970. There are 8 integers that are factors of 1970. The greatest factor of 1970 is 1970.

4. How to Find the LCM of 1964 and 1970?

Answer:

Least Common Multiple of 1964 and 1970 = 1934540

Step 1: Find the prime factorization of 1964

1964 = 2 x 2 x 491

Step 2: Find the prime factorization of 1970

1970 = 2 x 5 x 197

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1934540 = 2 x 2 x 5 x 197 x 491

Step 4: Therefore, the least common multiple of 1964 and 1970 is 1934540.